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Page 1: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X

COMPLEX (HILBERT) EOF

X: data matix

Y = X + iXH XH is the Hilbert transform of X

By CEOF:

Y = ∑ (EOF)† (PC) = {re(EOF)re(PC)+im(EOF)im(PC)} + i{-im(EOF)re(PC)+re(EOF)im(PC)}Example: HadiSSTa (50°S-50°N, 30°E-60°W), 1951-1990. Band-pass: [1,40]

Page 2: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X
Page 3: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X
Page 4: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X
Page 5: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X
Page 6: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X
Page 7: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X

-Phase(position) + Phase(t)

14: /home/comet/COMPLEX_EOF


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